Mixture designs with orthogonal blocks

Premadhis Das and Bikas K. Sinha

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 16, 8155-8165

Abstract: Constructions of blocked mixture designs are considered in situations where BLUEs of the block effect contrasts are orthogonal to the BLUEs of the regression coefficients. Orthogonal arrays (OA), Balanced Arrays (BAs), incidence matrices of balanced incomplete block designs (BIBDs), and partially balanced incomplete block designs (PBIBDs) are used. Designs with equal and unequal block sizes are considered. Also both cases where the constants involved in the orthogonality conditions depend and do not depend on the factors have been taken into account. Some standard (already available) designs can be obtained as particular cases of the designs proposed here.

Date: 2017
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DOI: 10.1080/03610926.2016.1175629

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